Efficient binary tomographic reconstruction
Stephane Roux (LMT), Hugo Leclerc (LMT), Fran\c{c}ois Hild (LMT)

TL;DR
This paper introduces a fast, heuristic algorithm for binary tomographic reconstruction from limited projections, utilizing a nonlinear transformation to achieve exact pixel recovery efficiently.
Contribution
A novel heuristic method using a nonlinear transformation for efficient binary tomographic reconstruction from few projections.
Findings
Achieves exact binary image reconstruction from limited projections.
Reconstructs images up to 1 million pixels in a few seconds.
Outperforms previous methods in efficiency and computation time.
Abstract
Tomographic reconstruction of a binary image from few projections is considered. A novel {\em heuristic} algorithm is proposed, the central element of which is a nonlinear transformation of the probability that a pixel of the sought image be 1-valued. It consists of backprojections based on and iterative corrections. Application of this algorithm to a series of artificial test cases leads to exact binary reconstructions, (i.e recovery of the binary image for each single pixel) from the knowledge of projection data over a few directions. Images up to pixels are reconstructed in a few seconds. A series of test cases is performed for comparison with previous methods, showing a better efficiency and reduced computation times.
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Taxonomy
TopicsDigital Image Processing Techniques · Medical Imaging Techniques and Applications · Medical Image Segmentation Techniques
